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Simplifying -34 + -1n = 1 + 6(1 + -7n) -34 + -1n = 1 + (1 * 6 + -7n * 6) -34 + -1n = 1 + (6 + -42n) Combine like terms: 1 + 6 = 7 -34 + -1n = 7 + -42n Solving -34 + -1n = 7 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. -34 + -1n + 42n = 7 + -42n + 42n Combine like terms: -1n + 42n = 41n -34 + 41n = 7 + -42n + 42n Combine like terms: -42n + 42n = 0 -34 + 41n = 7 + 0 -34 + 41n = 7 Add '34' to each side of the equation. -34 + 34 + 41n = 7 + 34 Combine like terms: -34 + 34 = 0 0 + 41n = 7 + 34 41n = 7 + 34 Combine like terms: 7 + 34 = 41 41n = 41 Divide each side by '41'. n = 1 Simplifying n = 1
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